Let's call the number of small arrangements x.
At Silvergrove Florist, the cost of the large centerpiece is $29.
The cost of x small arrangements is $14 * x.
So the total cost at Silvergrove Florist would be $29 + $14 * x.
At Rodrigo's Flowers, the cost of the large centerpiece is $43.
The cost of x small arrangements is $12 * x.
So the total cost at Rodrigo's Flowers would be $43 + $12 * x.
Since the cost is the same at both flower shops, we can set up the equation:
$29 + $14 * x = $43 + $12 * x
To solve for x, we can subtract $12 * x from both sides:
$29 + $14 * x - $12 * x = $43 + $12 * x - $12 * x
$29 + $2 * x = $43
Next, we can subtract $29 from both sides:
$29 + $2 * x - $29 = $43 - $29
$2 * x = $14
Finally, we can divide both sides by $2:
$2 * x / $2 = $14 / $2
x = $7
Therefore, the total cost would be $29 + $14 * 7 = $29 + $98 = $127.
And Mrs. Williamson would need to order 7 small arrangements.
Mrs. Williamson is researching what it would cost to order flower arrangements for a fancy party. She wants one large centerpiece for the head table, and smaller arrangements for the smaller tables. Silvergrove Florist charges $14 for each smaller arrangement, plus $29 for the large centerpiece. Rodrigo's Flowers, in contrast, charges $43 for the large centerpiece and $12 per arrangement for the rest. If Mrs. Williamson orders a certain number of small arrangements, the cost will be the same at either flower shop. What would the total cost be? How many small arrangements would that be?
1 answer
1 answer